6.544 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.028 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.075 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.075 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.075 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.101 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.121 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.143 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.143 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.143 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.160 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.169 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.179 * * * [progress]: simplifying candidates 0.181 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.187 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.191 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.214 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.218 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) 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(sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.219 * * * [progress]: adding candidates to table 0.352 * * [progress]: iteration 2 / 4 0.353 * * * [progress]: picking best candidate 0.358 * * * * [pick]: Picked # 0.358 * * * [progress]: localizing error 0.365 * * * [progress]: generating rewritten candidates 0.365 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.397 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.415 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.422 * * * [progress]: generating series expansions 0.422 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.422 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.423 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.427 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.514 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.541 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.541 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.568 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.568 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.568 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.572 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.592 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.594 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of 1.0 in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.611 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.611 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.615 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.638 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.638 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.638 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.640 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.649 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.651 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.658 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.668 * * * [progress]: simplifying candidates 0.669 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.675 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.684 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.714 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.717 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ 1.0 (* (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) 1)) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) 1.0 (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.718 * * * [progress]: adding candidates to table 0.926 * * [progress]: iteration 3 / 4 0.926 * * * [progress]: picking best candidate 0.939 * * * * [pick]: Picked # 0.939 * * * [progress]: localizing error 0.948 * * * [progress]: generating rewritten candidates 0.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.956 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.956 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.971 * * * [progress]: generating series expansions 0.971 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.972 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in (x) around 0 0.972 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.972 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.972 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.972 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.972 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.972 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.972 * [taylor]: Taking taylor expansion of 1/4 in x 0.972 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.972 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.975 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.975 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.975 * [taylor]: Taking taylor expansion of 1/4 in x 0.975 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.975 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.980 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.980 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.980 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.980 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.980 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.980 * [taylor]: Taking taylor expansion of 1/4 in x 0.980 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.982 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.982 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.982 * [taylor]: Taking taylor expansion of 1/4 in x 0.982 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.982 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 1.125 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in (x) around 0 1.125 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.125 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.125 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.125 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.125 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.125 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.125 * [taylor]: Taking taylor expansion of 1/4 in x 1.125 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.125 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.132 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.132 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.132 * [taylor]: Taking taylor expansion of 1/4 in x 1.132 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.132 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.136 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.136 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.136 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.136 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.136 * [taylor]: Taking taylor expansion of 1/4 in x 1.136 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.136 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.137 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.137 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.137 * [taylor]: Taking taylor expansion of 1/4 in x 1.137 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.137 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.187 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in (x) around 0 1.187 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in x 1.187 * [taylor]: Taking taylor expansion of 1.0 in x 1.187 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.187 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.187 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.187 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.187 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.187 * [taylor]: Taking taylor expansion of 1/4 in x 1.187 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.190 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.190 * [taylor]: Taking taylor expansion of 1/4 in x 1.190 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.192 * [taylor]: Taking taylor expansion of -1 in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.195 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.195 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.195 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.195 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.195 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.195 * [taylor]: Taking taylor expansion of 1/4 in x 1.195 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.197 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.197 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.197 * [taylor]: Taking taylor expansion of 1/4 in x 1.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.199 * [taylor]: Taking taylor expansion of -1 in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.278 * [approximate]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.278 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.278 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.278 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.278 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.278 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.278 * [taylor]: Taking taylor expansion of 1/4 in x 1.278 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.278 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.280 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.280 * [taylor]: Taking taylor expansion of 1/4 in x 1.280 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.280 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.284 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.284 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.284 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.284 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.284 * [taylor]: Taking taylor expansion of 1/4 in x 1.284 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.284 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.286 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.286 * [taylor]: Taking taylor expansion of 1/4 in x 1.286 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.286 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.377 * [approximate]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in (x) around 0 1.377 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.377 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.377 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.377 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.377 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.377 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.377 * [taylor]: Taking taylor expansion of 1/4 in x 1.377 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.379 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.379 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.379 * [taylor]: Taking taylor expansion of 1/4 in x 1.379 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.379 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.381 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.381 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.381 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.381 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.382 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.382 * [taylor]: Taking taylor expansion of 1/4 in x 1.382 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.382 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.383 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.383 * [taylor]: Taking taylor expansion of 1/4 in x 1.383 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.383 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.383 * [taylor]: Taking taylor expansion of 1.0 in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.434 * [approximate]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in (x) around 0 1.434 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.435 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.435 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.435 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.435 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.435 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.435 * [taylor]: Taking taylor expansion of 1/4 in x 1.435 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.437 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.437 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.437 * [taylor]: Taking taylor expansion of 1/4 in x 1.437 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.439 * [taylor]: Taking taylor expansion of -1 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.441 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.441 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.441 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.441 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.441 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.441 * [taylor]: Taking taylor expansion of 1/4 in x 1.441 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.443 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.443 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.443 * [taylor]: Taking taylor expansion of 1/4 in x 1.443 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.445 * [taylor]: Taking taylor expansion of -1 in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.509 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.509 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.509 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.509 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.509 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.509 * [taylor]: Taking taylor expansion of 1/4 in x 1.509 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.509 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of 1.0 in x 1.511 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.511 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.511 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.511 * [taylor]: Taking taylor expansion of 1/4 in x 1.511 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.511 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.545 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.545 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.545 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.545 * [taylor]: Taking taylor expansion of 1/4 in x 1.545 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.545 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.546 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.546 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.546 * [taylor]: Taking taylor expansion of 1/4 in x 1.546 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.547 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.547 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.565 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.565 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.565 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.565 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.565 * [taylor]: Taking taylor expansion of 1/4 in x 1.565 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.565 * [taylor]: Taking taylor expansion of 1.0 in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.766 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.766 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.766 * [taylor]: Taking taylor expansion of 1/4 in x 1.766 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.766 * [taylor]: Taking taylor expansion of 1.0 in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.791 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.791 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.791 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.791 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.791 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.791 * [taylor]: Taking taylor expansion of 1/4 in x 1.791 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.791 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.793 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.793 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.794 * [taylor]: Taking taylor expansion of 1/4 in x 1.794 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.794 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.828 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.828 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.828 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.828 * [taylor]: Taking taylor expansion of 1/4 in x 1.828 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.828 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.829 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.829 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.829 * [taylor]: Taking taylor expansion of 1/4 in x 1.829 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.830 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.830 * [taylor]: Taking taylor expansion of 1.0 in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.853 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.853 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.853 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.853 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.853 * [taylor]: Taking taylor expansion of 1/4 in x 1.853 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.855 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.855 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.855 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.855 * [taylor]: Taking taylor expansion of 1/4 in x 1.855 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.855 * [taylor]: Taking taylor expansion of 1.0 in x 1.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.880 * * * [progress]: simplifying candidates 1.882 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (log1p (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (- (log (+ 1.0 0)) (log (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (log (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (exp (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))))) (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (* (* (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (- (+ 1.0 0)) (- (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (fma (sqrt (sqrt 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(cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (fma 0.25 (/ (pow x 2) (* (sqrt 1.0) (pow 1.0 2))) (* 0.125 (/ (pow x 2) (sqrt 1.0))))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (sqrt 1.0))))) (* +nan.0 (- (/ x (pow (sqrt 1.0) 2)) (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (- (fma 0.125 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- (sqrt x) +nan.0) 2))) (fma 1.0 (/ 1 (- (sqrt x) +nan.0)) (* 0.25 (/ 1 (* x (pow (- (sqrt x) +nan.0) 3)))))) (fma (* +nan.0 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow (- (sqrt x) +nan.0) 3)) (* 0.5 (* (sqrt (/ 1 x)) (/ 1 (pow (- (sqrt x) +nan.0) 2)))))) (- (* +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 3) (pow x 2)))) (fma +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 2) (pow x 2))) (- (* +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 2) x))))))) (+ (- (fma 0.125 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2))) (fma 1.0 (/ 1 (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0)) (* 0.25 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 4) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3)))))) (fma +nan.0 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3))) (* 0.5 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* x (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))))) (- (* +nan.0 (/ 1 (* x (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))) (fma +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))))))) (fma (sqrt 1.0) (+ (* 0.5 x) (* 0.125 (pow x 2))) (- (sqrt 1.0) (fma +nan.0 (pow x 2) (- (* 1/4 (/ (* (pow x 2) (sqrt 1.0)) (pow 1.0 2))) (* +nan.0 x))))) (+ (- (fma 0.5 (sqrt (/ 1 x)) (sqrt x)) (fma +nan.0 (/ 1 (pow x 2)) (* 0.125 (sqrt (/ 1 (pow x 3)))))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (- (fma 0.5 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) x) (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2)) (fma +nan.0 (/ 1 (pow x 2)) (* 0.125 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (pow x 2))))) (fma +nan.0 (/ 1 x) (- +nan.0))) (fma (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.25 (- (pow (/ 1 x) -1/4) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.25 (- (pow (/ 1 x) -1/4) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) 1.958 * * * [progress]: adding candidates to table 2.279 * * [progress]: iteration 4 / 4 2.279 * * * [progress]: picking best candidate 2.291 * * * * [pick]: Picked # 2.291 * * * [progress]: localizing error 2.301 * * * [progress]: generating rewritten candidates 2.301 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.381 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.413 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.437 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.510 * * * [progress]: generating series expansions 2.510 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.511 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.511 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.511 * [taylor]: Taking taylor expansion of 1.0 in x 2.511 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.511 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.515 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.515 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.515 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.515 * [taylor]: Taking taylor expansion of x in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.600 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.600 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.600 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.602 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.602 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.602 * [taylor]: Taking taylor expansion of 1.0 in x 2.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.604 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.604 * [taylor]: Taking taylor expansion of 1.0 in x 2.604 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.606 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.606 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.606 * [taylor]: Taking taylor expansion of 1.0 in x 2.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.606 * [taylor]: Taking taylor expansion of x in x 2.630 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.630 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.630 * [taylor]: Taking taylor expansion of 1.0 in x 2.630 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.630 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.630 * [taylor]: Taking taylor expansion of -1 in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.631 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.631 * [taylor]: Taking taylor expansion of 1.0 in x 2.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.634 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 2.634 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.634 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.634 * [taylor]: Taking taylor expansion of -1 in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.635 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.635 * [taylor]: Taking taylor expansion of 1.0 in x 2.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.635 * [taylor]: Taking taylor expansion of x in x 2.657 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.657 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.657 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.657 * [taylor]: Taking taylor expansion of 1.0 in x 2.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.657 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.657 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.657 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.657 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.657 * [taylor]: Taking taylor expansion of 1.0 in x 2.659 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.676 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.676 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.676 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.678 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.863 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 2.863 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.863 * [taylor]: Taking taylor expansion of 1.0 in x 2.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.863 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.863 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.865 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.865 * [taylor]: Taking taylor expansion of 1.0 in x 2.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.876 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.876 * [taylor]: Taking taylor expansion of 1.0 in x 2.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.876 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.877 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.877 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.877 * [taylor]: Taking taylor expansion of 1.0 in x 2.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.923 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 2.923 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.923 * [taylor]: Taking taylor expansion of 1.0 in x 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.923 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.923 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.923 * [taylor]: Taking taylor expansion of -1 in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.924 * [taylor]: Taking taylor expansion of 1.0 in x 2.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.935 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.935 * [taylor]: Taking taylor expansion of 1.0 in x 2.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.935 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.935 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.935 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.935 * [taylor]: Taking taylor expansion of -1 in x 2.935 * [taylor]: Taking taylor expansion of x in x 2.937 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.937 * [taylor]: Taking taylor expansion of 1.0 in x 2.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.989 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.989 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.989 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.989 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.989 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.989 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.989 * [taylor]: Taking taylor expansion of x in x 2.989 * [taylor]: Taking taylor expansion of 1.0 in x 2.991 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.991 * [taylor]: Taking taylor expansion of x in x 2.997 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.997 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.997 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.997 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.997 * [taylor]: Taking taylor expansion of x in x 2.997 * [taylor]: Taking taylor expansion of 1.0 in x 2.999 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.999 * [taylor]: Taking taylor expansion of x in x 3.066 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.066 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.066 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.066 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.066 * [taylor]: Taking taylor expansion of x in x 3.068 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.068 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.068 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.068 * [taylor]: Taking taylor expansion of x in x 3.077 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.077 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.077 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.078 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.078 * [taylor]: Taking taylor expansion of 1.0 in x 3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.106 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.106 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.106 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.112 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.112 * [taylor]: Taking taylor expansion of -1 in x 3.112 * [taylor]: Taking taylor expansion of x in x 3.114 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.114 * [taylor]: Taking taylor expansion of 1.0 in x 3.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.114 * [taylor]: Taking taylor expansion of x in x 3.123 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.123 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.123 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.123 * [taylor]: Taking taylor expansion of -1 in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.125 * [taylor]: Taking taylor expansion of 1.0 in x 3.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.125 * [taylor]: Taking taylor expansion of x in x 3.154 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.154 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.154 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.154 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.154 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.154 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.154 * [taylor]: Taking taylor expansion of x in x 3.154 * [taylor]: Taking taylor expansion of 1.0 in x 3.156 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.156 * [taylor]: Taking taylor expansion of x in x 3.162 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.162 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.162 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.162 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.162 * [taylor]: Taking taylor expansion of x in x 3.162 * [taylor]: Taking taylor expansion of 1.0 in x 3.164 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.232 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.232 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.232 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.232 * [taylor]: Taking taylor expansion of x in x 3.233 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.233 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.233 * [taylor]: Taking taylor expansion of 1.0 in x 3.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.233 * [taylor]: Taking taylor expansion of x in x 3.242 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.242 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.242 * [taylor]: Taking taylor expansion of x in x 3.243 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.243 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.243 * [taylor]: Taking taylor expansion of 1.0 in x 3.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.272 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.272 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.272 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.272 * [taylor]: Taking taylor expansion of -1 in x 3.272 * [taylor]: Taking taylor expansion of x in x 3.274 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.274 * [taylor]: Taking taylor expansion of 1.0 in x 3.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.274 * [taylor]: Taking taylor expansion of x in x 3.290 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.290 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.290 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.290 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.290 * [taylor]: Taking taylor expansion of -1 in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.292 * [taylor]: Taking taylor expansion of 1.0 in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.321 * * * [progress]: simplifying candidates 3.332 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (- (log (+ 1.0 0)) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt 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1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (sqrt (sqrt 1.0))) (fma (* +nan.0 (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 3.484 * * * [progress]: adding candidates to table 4.097 * [progress]: [Phase 3 of 3] Extracting. 4.097 * * [regime]: Finding splitpoints for: (# # # # # # #) 4.100 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.100 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 4.129 * * * [regime]: Found split indices: #